How to approximate definite integrals using the Midpoint Rule, Trapezoidal Rule, and Simpson's Rule. Examples finding the error bound for each of the approximations, as well as how to find K and the minimum number of subintervals in order to guarantee the estimate is within some given amount of error. One of the most practical applications in the course! #approximateintegration #calculus2 #mathtvwithprofessorv #midpointrule #trapezoidalrule #simpsonsrule #trapezoidrule #errorbound #findingK #findingKforerrorbound #definiteintegrals #integration #calculus #calculusvideos #mathvideos #calculushelp #mathprofessor #math #youtubemath #calculus2videos #precalculus #trigonometry
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Calculus 2 Lecture Videos on Integration:
Integration by parts: https://youtu.be/0klrkpMUsXA
Tabular Integration: https://youtu.be/pzhJciqIrzw
Trigonometric integrals: https://youtu.be/0MqaL3fwPu4
Trigonometric Substitution: https://youtu.be/rAH-dRxQ4o0
Partial Fraction Decomposition: https://youtu.be/mT25uSspHIU
Strategy for Integration: https://youtu.be/P_smvpnX3_g
Improper Integrals: https://youtu.be/Q0zD3GjXJ1s
Trig Review:
Unit Circle: https://youtu.be/nl84YXi1_3A
Trig Identities: https://youtu.be/SLVrNGi1Br0
Sum and Difference Formulas: https://youtu.be/9kC8gwkxf6A
Double Angle & Half-Angle Formulas: https://youtu.be/EaF57Y4B2uY
Calculus 3 Video Lectures:
https://youtube.com/playlist?list=PLl-Np5U6u5E65pRRuD0mBXM4w4fenJ5gD
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